= 14TrDix(|DB,|-1(T)|DB,'|-1) ,

independently of \(\varepsilon ,\varepsilon ^{\prime }>0\) .
Equation (REF ) can be compared with [1]}
which describes the noncommutative Connes' integral.
In particular, in view of [1]}, one can interpret formula (REF ) as the “volume-integral” of the “noncommutative smooth manifold” \({S}_B\) . It turns out that
the spectral triple \(({S}_B,{H}_4,D_B)\) 
behaves like a noncommutative Riemannian manifold of dimension 2. Borrowing the parlance of [3]}
we can state the following result:
